77673140 has 48 divisors (see below), whose sum is σ = 175392000. Its totient is φ = 28801152.

The previous prime is 77673137. The next prime is 77673151. The reversal of 77673140 is 4137677.

It is a super-3 number, since 3×77673140³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77673140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15686 + ... + 20034.

It is an arithmetic number, because the mean of its divisors is an integer number (3654000).

Almost surely, 2^77673140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77673140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87696000).

77673140 is an abundant number, since it is smaller than the sum of its proper divisors (97718860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77673140 is a wasteful number, since it uses less digits than its factorization.

77673140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 77673140 is about 8813.2366358790. The cubic root of 77673140 is about 426.6682115287.

The spelling of 77673140 in words is "seventy-seven million, six hundred seventy-three thousand, one hundred forty".